标题： 纤维型曲线补集的同伦类型 显示英文标题

标题： Homotopy type of complements of fiber-type curves

摘要： 在本文中，我们研究纤维型平面射影曲线补集的同伦类型。 粗略地说，纤维型曲线是某个线束的有限个纤维的并集。 在一些限制条件下，给出了它们同伦类型的完整描述。 在纤维型曲线的背景下，我们也部分正面回答了Libgober最初提出的关于平面曲线补集同伦类型的问题，即补集的同伦类型是否由基本群及其欧拉示性数所确定。 显示英文摘要

摘要： In this note we study the homotopy type of the complement of a plane projective curve of fiber-type. Roughly speaking, a curve of fiber-type is a finite union of fibers of a pencil. Under some restrictions, a full description of their homotopy type is given. In the context of fiber-type curves, we also partially answer in the positive a question originally posed by Libgober on the homotopy type of complements of plane curves, namely, whether or not the homotopy type of a curve complement is determined by the fundamental group and its Euler characteristic.